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Finding the Fourth Proportional to 2,064.56, 3,097.71 and 1,090.71

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Solution

The fourth proportional to 2,064.56, 3,097.71 and 1,090.71 is: 1,636.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.56 : 3,097.71 = 1,090.71 : x
  2. Step 2: Convert to fraction form
    2,064.56/3,097.71 = 1,090.71/x
  3. Step 3: Cross multiply
    2,064.56x = 3,097.71 × 1,090.71
  4. Step 4: Simplify right side
    2,064.56x = 3,378,703.27
  5. Step 5: Solve for x
    x = 3,378,703.27/2,064.56
  6. Step 6: Final answer
    x = 1,636.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.